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- Eötvös Loránd UniversityHU45 papers
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5 papers · 1 filter
On the duality between the hyperbolic Sutherland and the rational Ruijsenaars-Schneider models
L. Feher, C. Klimcik
We consider two families of commuting Hamiltonians on the cotangent bundle of the group GL(n,C), and show that upon an appropriate single symplectic reduction they descend to the s…
Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction
L. Feher, C. Klimcik
The trigonometric Ruijsenaars-Schneider model is derived by symplectic reduction of Poisson-Lie symmetric free motion on the group U(n). The commuting flows of the model are effort…
Hamiltonian reductions of free particles under polar actions of compact Lie groups
L. Feher, B. G. Pusztai
Classical and quantum Hamiltonian reductions of free geodesic systems of complete Riemannian manifolds are investigated. The reduced systems are described under the assumption that…
Absolute Time Derivatives
T. Matolcsi, P. Van
A four dimensional treatment of nonrelativistic space-time gives a natural frame to deal with objective time derivatives. In this framework some well known objective time derivativ…
Spin Calogero models associated with Riemannian symmetric spaces of negative curvature
L. Feher, B. G. Pusztai
The Hamiltonian symmetry reduction of the geodesics system on a symmetric space of negative curvature by the maximal compact subgroup of the isometry group is investigated at an ar…